Answer:
width 9'' length 9''
Step-by-step explanation:
2 " is cut off from both sides
so the base of the box will be a square
area * height = volume of box
side = x
height =2
2x^2=162
x^2=81
x=9 inches the side of the box
Volume =162
V=area*height V= 81*2= 162
Answer:
Length is 9 in and width is 9 in.
Step-by-step explanation:
Suppose the side length of squared shaped sheet of metal is x inches,
∵ After cutting 4 equal squares having side length 2 inches from each corner,
The dimension of the resultant box (x-4) inches ×(x-4) inches × 2 inches,
i.e. length = width = x - 4 inches,
Height = 2 inches,
Tus, the volume of the box,
[tex]V=(x-4)(x-4)(2)[/tex] ( in cubic inches )
According to the question,
[tex](x-4)(x-4)(2) = 162[/tex]
[tex](x-4)^2 = 81[/tex]
[tex]x-4=\pm 9[/tex]
[tex]x=13 \text{ or }x = -5[/tex]
∵ Side can not be negative,
Hence, the length and width of the box = 13 - 4 = 9 inches,
